__Examples of Similar Figures__

- The trapezoids shown below are similar; they have the same shape but they are different in size.

__More about Similar Figures__

- Any two corresponding sides in two similar figures have a common ratio called the scale factor.

The trapezoids ABCD and EFGH shown above are similar. So, .

- The ratio of areas of two similar figures is the square of the scale factor.
- The ratio of volumes of two similar figures is the cube of the scale factor.

__Solved Example on Similar Figures__

Find the value of *x*, if the figures are similar.

**Choices:**

A.

B.

C.

D.

**Correct Answer: B**

**Step 1:** Since the figures are similar, the ratios of the lengths of corresponding sides of the figures are equal.

**Step 2: ** [Write the proportion.]

**Step 3: ** [Substitute the values.]

**Step 4: **12 × *x* = 5 × 6 [Write the cross products.]

**Step 5: ** [Divide both sides by 12.]

**Step 6: ** [Simplify.]

**Step 7: ** [Convert improper fraction into mixed number.]

**Step 8:** The value of *x* is .

__Additional Links for Similar Figures__